<div class="csl-bib-body">
<div class="csl-entry">Osmolovskii, N. P., & Veliov, V. (2025). Strong metric subregularity of the optimality mapping and second-order sufficient optimality conditions in extremal problems with constraints. <i>Communications in Optimization Theory</i>, <i>2025</i>, Article 31. https://doi.org/10.23952/cot.2025.31</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/221519
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dc.description.abstract
This is a review paper, summarizing without proofs recent results by the authors on the property of strong metric subregularity (SMSR) in optimization. It presents sufficient conditions for SMSR of the optimality mapping associated with a set of necessary optimality conditions in three types of constrained optimization problems: mathematical programming, calculus of variations, and optimal control. The conditions are based on second-order sufficient optimality conditions in the corresponding optimization problems and guarantee small changes in the optimal solution and Lagrange multipliers for small changes in the data.
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dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.publisher
Mathematical Research Press
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dc.relation.ispartof
Communications in Optimization Theory
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dc.subject
Control constraint
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dc.subject
Critical cone
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dc.subject
Mayer’s problem
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dc.subject
Metric subregularity
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dc.subject
Quadratic form
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dc.title
Strong metric subregularity of the optimality mapping and second-order sufficient optimality conditions in extremal problems with constraints